In the card game Magic: the Gathering, spells are cast using mana produced by “land” cards. Suppose your deck has 60 cards, 24 of which are lands.

Question

In the card game Magic: the Gathering, spells are cast using mana produced by “land” cards. Suppose your deck has 60 cards, 24 of which are lands.

(a) What is the probability that your opening hand of 7 cards has no lands in it?

(b) What is the probability that your opening hand of 7 cards has exactly 3 lands?

(c) What is the probability that your opening hand of 7 cards has 5 or more lands?

Answer 1

There are 36 non-Land cards.

a) P(X=0) = C(36,7) / C(60,7)

b) P(X=3) = C(24,3)*C(36,4) / C(60,7)

c) You need P(X=5) + P(X=6) + P(X=7) Try to apply the methods above to this question and verify answer by posting it here.

If it is not clear where these answers come from, then scheduling a lesson would be beneficial.

Good luck!

Patrick